Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎Sahand University of Technology‎, ‎Tabriz‎, ‎Iran.

2 Department of Mathematics‎, ‎Marand Branch‎, ‎Islamic Azad University‎, ‎Marand‎, ‎Iran.

Abstract

‎In this paper‎, ‎we prove some theorems related to properties of‎ ‎generalized symmetric hybrid mappings in Banach spaces‎. ‎Using Banach‎ ‎limits‎, ‎we prove a fixed point theorem for symmetric generalized‎ ‎hybrid mappings in Banach spaces‎. ‎Moreover‎, ‎we prove some weak‎ ‎convergence theorems for such mappings by using Ishikawa iteration‎ ‎method in a uniformly convex Banach space.

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References

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Bulletin of the Iranian Mathematical Society
Volume 43, Issue 3
June 2017
Pages 617-627

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History

  • Receive Date: 20 May 2015
  • Revise Date: 03 January 2016
  • Accept Date: 03 January 2016

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